You are standing on the ground at the origin of a coordinate system. An airplane

Question

You are standing on the ground at the origin of a coordinate system. An airplane flies over you with constant velocity parallel to the x axis and at a constant height of 8.30 times 103 m. At t = 0, the airplane is directly above you so that the vector leading from you to it is P 0 = 8.30 times 103j^ m. At t = 30.0 s the position vector leading from you to the airplane is P 30 = (8.72 times 103i^ + 8.30 times 103j^) m as suggested in the figure below. Determine the magnitude and orientation of the airplane's position vector at t = 65.0 s.

Explanation / Answer

velocity of plane=change on position of plane/time

=[(8.72*10^3 i + 8.3*10^3 j) - 8.3*10^3 j ]/30 m/s

=290.67 i m/s.

position at t=65

=position at t=0 + velocity*time

=8.3*10^3 j + 65*290.67 i m

=18.893*10^3 i + 8.3 *10^3 j

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